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Each angle in ∆QRS has a degree measurement of either x or y

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Each angle in ∆QRS has a degree measurement of either x or y [#permalink] New post 22 May 2017, 01:43
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71% (01:28) correct 28% (00:40) wrong based on 42 sessions


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Each angle in ∆QRS has a degree measurement of either x or y and the angles are expressed by the equation 2x + y = 180

Quantity A
Quantity B
Perimeter of \(\triangle QRS\)
\(17\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Each angle in ∆QRS has a degree measurement of either x or y [#permalink] New post 10 Oct 2017, 07:55
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If the angles are such that 2x + y = 180, this means that two angles are equal and our triangle is isosceles. However, there are two cases depending on which angles are equal:

case 1) sides RQ and RS are equal and the perimeter is 7+7+4 = 18 -> answer A

case 2) sides SQ and SR are equal and the perimeter is 4+4+7 = 15 -> answer B

Since we can't say which one is greater than the other, the answer is D
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Re: Each angle in ∆QRS has a degree measurement of either x or y [#permalink] New post 05 Apr 2018, 00:24
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The word problem implicates that the given triangle is an isosceles triangle. So the third side can be either 7 or 4. So substituting both the values would give 15 or 18. So precisely finding bigger number is not easy.

TRAP: Images can be misleading. Don't fall for them. Read question carefully and then have an imaginary figure based on information.
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Re: Each angle in ∆QRS has a degree measurement of either x or y [#permalink] New post 29 Sep 2018, 11:35
I picked D
Re: Each angle in ∆QRS has a degree measurement of either x or y   [#permalink] 29 Sep 2018, 11:35
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Each angle in ∆QRS has a degree measurement of either x or y

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